Temporal Analysis of Earthquake and Quantile Function Estimation

Abstract

This study explores a novel method for estimating and approximating quantile and quantile density functions based on known moments. In this context, the moments are represented by time intervals (waiting times) between earthquakes recorded in seismic catalogs. The research utilizes global seismic data on earthquake waiting times and evaluates three different approximation models: frequency moments, conventional moments, and transposition moments. While multiple approaches exist for estimating quantile functions, the key advantage of our method lies in its reliance solely on moment information.